n your new job at an engineering company, your supervisor asks you to fabricate a resistor that has a resistance of R = 0.190 2 and no change in esistance with temperature. She suggests making the resistor from lengths of cylindrical carbon and Nichrome wires of equal radius, placed end-to- end. She wants the combination to fit into a machine that allows for a radius of the resistor to be r = 1.13 mm. What are the lengths of the two egments of the resistor (in m)? lichrome arbon m m

n your new job at an engineering company, your supervisor asks you to fabricate a resistor that has a resistance of R = 0.190 2 and no change in esistance with temperature. She suggests making the resistor from lengths of cylindrical carbon and Nichrome wires of equal radius, placed end-to- end. She wants the combination to fit into a machine that allows for a radius of the resistor to be r = 1.13 mm. What are the lengths of the two egments of the resistor (in m)? lichrome arbon m m

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter21: Current And Direct Current Circuits

Section: Chapter Questions

Problem 63P

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Similar questions

In your new job at an engineering company, your supervisor asks you to fabricate a resistor that has a resistance of R = 0.100 Ω and no change in resistance with temperature. She suggests making the resistor from lengths of cylindrical carbon and Nichrome wires of equal radius, placed end-toend. She wants the combination to fit into a machine that allows for a radius of the resistor to be r = 1.50 mm. What are the lengths of the two segments of the resistor?
Consider a resistor made from a hollow cylinder of carbon as shown below. The inner radius of the cylinder is Ri = 0.20 mm and the outer radius is R0 = 0.30 mm . The length of the resistor is L = 0.90 mm . The resistivity of the carbon is ρ = 3.5 × 10−5 Ω · m . (a) Prove that the resistance perpendicular from the axis is R = ρ 2πLln ( R0 Ri). (b) What is the resistance?
A 1.30 m cylindrical rod of diameter 0.500 cm is connected to a power supply that maintains a constant potential difference of 15.0 V across its ends, while an ammeter measures the current through it. You observe that at room temperature (20.0∘C) the ammeter reads 18.8 A, while at 92.0∘C it reads 16.6 A. You can ignore any thermal expansion of the rod. (A) Find the resistivity for the material of the rod at 20∘C Express your answer with the appropriate units. (B) Find the temperature coefficient of resistivity at 20∘C for the material of the rod. Express your answer in inverse degrees Celsius.
The temperature in Philadelphia, PA can vary between 68.00 °F and 100.00 °F in one summer day. By what percentage will an aluminum wire’s resistance change during the day?
Consider a copper wire with a diameter of 2.75 mm. A. What is the drift speed of the electrons in the copper wire when a current of 13.0 A flows through it? Assume that each copper atom contributes one free electron to the metal. The density of copper is 8.92 g/cm3. B. How does this drift speed compare to the random rms speed of an electron at 20.0°C? To make this comparison, determine the random rms speed of an electron at 20.0°C using the ideal gas model and find the ratio of the two speeds.
In these two examples, what exactly happens if the current goes from left to right? For the first example, when t = 0, where does the charge go? I know that after a long time, the capacitor will fill up and all the current goes through the resistor, but is it the same for t = 0? For the second example, I know that at t=0, all the current goes through the wire, but after a while all the current will go through the resistor?
A copper (resistivity = 1.72 EXP-8 Ω.m) conductor with a square cross section, 1.0 mm on a side is 100 m long and is initially 20oC. 1. If the temperature coefficient (a) of copper is 0.00393 per degree Celsius, what is the change in resistance of the copper conductor if the temperature is increased to 100 degrees Celsius? 2. What is the resistance of this conductor?
At room temperature, what is the strength of the electric field in a 12 gauge copper wire (diameter 2.05 mm) that is needed to cause a 3.90 A current to flow? Use the resistivity at room temperature for copper ρ = 1.72×10−8 Ω⋅m. Express your answer with the appropriate units. What field would be needed if the wire were made of silver instead? Use the resistivity at room temperature for silver ρ = 1.47×10−8 Ω⋅m. Express your answer with the appropriate units.
Three equally long meter-long copper wires with diameters of 1 mm, 2 mm and 3 mm are connected in series and connected to a voltage of 12 V. How much current flows through the wires (I)? What are the stresses on the individual sections (U1, U2, U3)? (specific resistance of copper is 0.017 Vmm2/ Am)
A cylindrical resistor of radius 5.0 mm and length 2.0 cm is made of material that has a resistivity of 3.5 * 10-5 ohm m.What are (a) the magnitude of the current density and (b) the potential difference when the energy dissipation rate in the resistor is 1.0W?
The Iceberg Kid, infamous for imposing a deep freeze on whoever disagrees with him, discovers that in his advanced teenaged years his hands constantly feel chilled. As he is a cool physics student, the Iceberg Kid quickly calculates the resistance of the resistor needed to warm his hands. Given that 185 J185 J of thermal energy is generated by the resistor during 6.19 s6.19 s of operation while connected to a 12.0 V12.0 V battery, find the correct value of this resistance (and avoid a cold, cold fate).
You have a 100 meter long hollow square copper wire that has a side length of 5mm. The diameter of the cylindrical interior is 3.5 mm. If copper had a resistivity of (1.7x10^(-8)Ωm, what is the resistance of the wire? The units for the options are Ω. a.0.022 b. 0.068 c.0.11 d. 0.18 E.0.24